What is the volume of the cone? What is the volume of the cylinder? What is the volume of the sphere? At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. Hint: Which shapes gives you more clay for less money?
Answers
Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
Related Questions
lily wants to buy a new smartphone. she has $500 to spend. list three way she can get good deal
Answers
by bargaining with the owner, vying for discounts or insisting on multiple products for a complimentary value deal
which line segment could be a midsegment of ∆abc
Answers
Answer:
[tex]\overline{DF}[/tex] could be a midsegment of ∠ABC.
Step-by-step explanation:
A midsegment of a triangle must be two things:
1. Parallel to the 3rd side, in this case, [tex]\overline{AD}[/tex].
2. Half the length of the 3rd side, in this case, [tex]\overline{AD}[/tex].
Since we don't know the lengths, we can only go off of 1. There is only one line that is parallel to [tex]\overline{AD}[/tex] and it is [tex]\overline{DF}[/tex].
Hope this helped!
Making Purchasing decision.
Q1) A restaurant meal usually cost Nu 80. A special rate of Nu 60 is offered for lunch on Thursday only. Calculate the percent discount.
Answers
Answer:
25%
Step-by-step explanation:
Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.
To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:
Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%
Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%
Percent discount = 25%
When results from a scholastic assessment test are with their scores are also given. Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated 26) grade and at the 34th percentile for their quantitative grade. Interpret these results.
A) This student performed better than 22% of the other test-takers in the verbal part and better
B) This student performed better than 78% of the other test-takers in the verbal part and better
C) This student performed better than 22% of the other test-takers in the verbal part and better
D) This student performed better than 78% of the other test-takers in the verbal part and better than 66% in the quantitative part. than 34% in the quantitative part.
Answers
Answer:
B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
Step-by-step explanation:
In Statistics, Percentile refers to how specific variables can be divided according to the distribution of values in a population of 100 equal groups.
The data value of a given percentile can be determined as 100 times the cumulative relative frequency of that value.
From the given question.
Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated grade and at the 34th percentile for their quantitative grade.
This implies that ;
The student score shows the relation between a particular score of :
78% and the scores of the rest of a group for the verbal test takers &
34% and the scores of the rest of a group for the quantitative test takers.
Therefore; we can conclude that ;
This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
PLEASE HELP. YOU NEED TO FIND SLOPE. THANK YOU!
Answers
Answer:
5
Step-by-step explanation:
Due to the direction the line is facing it can be concluded that its slope is positive.
You need two definite points on the line to find the slope.
(x¹,y¹) ( x²,y²)
Points (5,20) (0, -5)
Slope = (y² - y¹) ÷ (x² - x¹)
= (-5 - 20) ÷ (0 -5)
= (-25) ÷ (-5)
= 5
Have a great day!
If each side of a square measures (32 + 8) write an equation you could use to find the area of the square.
9x^3+24x+64
9x^2+64
9x^2+48x+64
6x+16
Answers
Answer:
A = 9x² + 48x + 65
Step-by-step explanation:
Area of a Square Formula: A = lw
Since a square's length is equal to its width, we simply plug it into the formula:
A = (3x + 8)(3x + 8)
Then we simply use FOIL to expand the distribution)
First - 3x(3x) = 9x²
Outside - 8(3x) = 24x
Inside - 8(3x) = 24x
Last - 8(8) = 64
Lastly, we combine like terms
9x² + 24x + 24x + 64
9x² + 48x + 64
Please answer this in two minutes
Answers
Answer:
k = 4Step-by-step explanation:
It is half of equilateral triangle where 2√3 is its hight so:
[tex]2\sqrt3=\frac{k\sqrt3}2\\\\4\sqrt3=k\sqrt3\\\\k=4[/tex]
Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). F(x) = -4x + 1; g(x) = (x+1)/4 Choices: a. G(x) has to be: (1-x)/4 b. Inverses c. G(x) has to be: 1/(4 - x) d. G(x) has to be: x/4
Answers
Answer:
G(x) = (1 - x)/4
is the inverse function required.
Step-by-step explanation:
Given F(x) = -4x + 1
Let y = F(x)
Then y = -4x + 1
=> y - 1 = -4x
4x = 1 - y
x = (1 - y)/4
That is, the inverse is (1 - x)/4
Therefore, G(x) has to be (1 - x)/4
Find the distance from point M to point N on the graph shown. Round your answer to
the nearest hundredth.
possible solutions:
1. 4.24 units 2. 8.49 units
3. 8.60 units 4. 12.00 units
Answers
Answer:
3. 8.60 units
Step-by-step explanation:
Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, [tex]d = \sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2}[/tex]
M(-2, 4) => (x1, y1)
N(5, -1) => (x2, y2)
Plug in the values into the formula
[tex] d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2} [/tex]
[tex] d = \sqrt{(7)^2 + (-5)^2} [/tex]
[tex] d = \sqrt{49 + 25} [/tex]
[tex] d = \sqrt{74} [/tex]
[tex] d = 8.60 units [/tex]
Answer:
Step-by-step explanation:
Need help please can you answer it how the question is telling you
Answers
Answer:
243 m³
Step-by-step explanation:
The volume of a rectangular pyramid is given by:
[tex]V = \frac13lwh[/tex]
Where
l = length = 9m
w = width = 9m
h = height = 9m
so the volume is 1/3*9*9*9 = 243 m³
Answer:
243
Step-by-step explanation:
The formula for the volume of a square-based pyramid is
[tex]V=\frac{lwh}{3}[/tex]
[tex]l[/tex] = length
[tex]w[/tex] = width
[tex]h[/tex] = height
[tex]V=\frac{9 \times 9 \times 9}{3}[/tex]
[tex]V=\frac{729}{3}[/tex]
[tex]V=243[/tex]
The area is 243 cubic meters.
a sector with a radius of 12cm has an area of 60pi cm what is the central angle in radians
Answers
Answer:
5/6π.
Step-by-step explanation:
The following data were obtained from the question:
Radius (r) = 12 cm
Area (A) = 60π cm²
Centre angle in radian (∅) =...?
Since we are to look for the centre angle in radian, the area of the sector will be given by:
A = ½r²∅
Inputting the values of the area, A and radius, r, the centre angle, ∅ can be obtained as follow:
A = ½r²∅
60π = ½ × 12² × ∅
60π = ½ × 144 × ∅
60π = 72 × ∅
Divide both side by 72
∅ = 60π/72
∅ = 5/6π
Therefore, the centre angle measured in radian is 5/6π.
PLEASE HELP MEE I need help finding x a b and c
Answers
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, both the base angles of that triangle measure a. We also know that a + b = 180 because of the definition of supplementary angles. So we have 2 equations from that info. First is the fact that
a + 7x = 180 and the second is
2x + a + a = 180 because of the Triangle Angle-Sum Theorem. If the left side of the first equation = 180 and the left side of the second equation also = 180, then by the transitive property of equality,
a + 7x = 2x + a + a and
a + 7x = 2x + 2a and
5x = a. Now that we know that a = 5x, we go back to our triangle and fill in 5x as a:
5x + 5x + 2x = 180 (the Triangle Angle-sum Theorem again) and
12x = 180 so
x = 15. If x = 15, then
a = 5(15) = 75,
b = 7(15) = 105, and
c = 2(15) = 30
Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?
Answers
Answer:
$140
Step-by-step explanation:
if 30% of full price = $42 then 100% = 42/0.3 = 140
Answer:
$140
Step-by-step explanation:
1. Set up the equation
[tex]\frac{42}{x}[/tex] = [tex]\frac{30}{100}[/tex]
Percentage is out of 100 this equation says 42 of x number is equal to 30%.
2. Cross multiply
30x = 4200
3. Solve for x by dividing both sides by 30
x = 140
plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS THANKS What is the constant of proportionality in the equation y = StartFraction x over 9 EndFraction? 0 StartFraction 1 over 9 EndFraction StartFraction 8 over 9 EndFraction 1
Answers
Answer:
Proportionality Constant = k = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Equation is:
[tex]y = \frac{x}{9}[/tex]
=> [tex]y = (\frac{1}{9} ) x[/tex]
Comparing it with [tex]y = kx[/tex], where k is the proportionality constant, We get:
Proportionality Constant = k = [tex]\frac{1}{9}[/tex]
Answer:
[tex]{\sf \frac{1}{9}}[/tex]
Step-by-step explanation:
y and x are the directly proportional quantities.
[tex]\sf y=kx[/tex]
The constant of proportionality is k.
The equation is:
[tex]\sf y=\frac{x}{9}[/tex]
[tex]\sf y=\frac{1}{9} x[/tex]
The value of k in this equation is:
[tex]\sf k= \frac{1}{9}[/tex]
Sophia‘s favorite homemade cookie recipe requires one cup of chocolate chips for 10 servings if the number of cups required for multiple batches is proportional to the number of servings being made how many cups of chocolate chips will she need to make enough cookies for 30 servings
Answers
Answer:
3 cups
Step-by-step explanation:
We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches
[tex]\frac{c}{b}[/tex]
[tex]\frac{1}{10} = \frac{c}{30}[/tex]
We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)
[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]
Therefore, she needs 3 cups of chocolate chips to make 30 servings.
Answer:
3 cups
Step-by-step explanation:
We can use ratios to solve
1 cup x cups
---------------- = ----------------
10 servings 30 servings
Using cross products
1*30 = 10x
Divide by 10
30/10 = x
3 =x
3 cups
PLEASE HELPP!!!
Find C to two decimal places and find the measure of angle B.
Answers
Answer:
<B = 32°
c = 9.43
Step-by-step explanation:
To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.
58° + 90° = 148°
180° - 148° = 32°
The measure of <B is 32°.
To find the length of side c, use the Pythagorean Theorem.
a² + b² = c²
5² + 8² = c²
25 + 64 = c²
89 = c²
c = √89
c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)
The length of side c = 9.43.
Hope that helps.
Which triangle’s area can be calculated using the trigonometric area formula?
Answers
Explanation:
In order for a triangle to be calculated by using trigonometric area formula that triangle must be given 2 sides and 1 angle (SAS)
Answer:
Triangle klm
Step-by-step explanation:
edg 2020
Angle ABC is a straight angle. MAngleDBC = 130° and Ray B E bisects AngleABD. The center of line A C is point B. Two lines extend from point B. One line extends to the left and contains point E. Another line extends up and to the left and contains point D. What is mEBA? °
Answers
Answer:
25°
Step-by-step explanation:
Since ∠DBC = 130°, ∠DBC + ∠ABD = 180° (sum of angles on a straight line is 180°). Solving for ∠ABD:
∠DBC + ∠ABD = 180°
130 + ∠ABD = 180°
∠ABD = 180° - 130°
∠ABD = 50°
∠ABD is bisected by line BE, therefore ∠ABD = ∠EBA + ∠DBE (angle addition postulate).
The angle addition postulate states that if w is the interior of xyz then ∠XYZ = ∠XYW + ∠ZYW
Since E is the interior of ∠ABD, then:
∠ABD = ∠EBA + ∠DBE
But ∠EBA = ∠DBE
∠ABD = 2∠EBA
50 = 2∠EBA
∠EBA = 25°
Answer:
The answer is 25 degrees
Six different books need to be placed on a shelf. You randomly arrange the books on the shelf from left to right. How many possible arrangement are there?
Answers
Answer:
720 ways
Step-by-step explanation:
At first their are six books, that means that there are six different positions to put them. The first book to be placed would have 6 position, when the first book is placed, to place the second book there would be 5 position since one position has been used by the first book. After placing the second book, to place the third book there would 4 available position, and it follows this manner i.e for the fourth book 3 available position, for the fifth book 2 available position and for the sixth book, one available position.
Therefore the number of ways to arrange the books on the shelf from left to right = 6 × 5 × 4 × 3 × 2 × 1 = 6! = 720 ways
Campus rentals rent 2 and 3 bedroom apartments for 700$ and 900$ a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?
Answers
Answer:
2 - bedroom apartment = 4
3 - bedroom apartment = 2
Step-by-step explanation:
Given the following :
2 - bedroom apartment = $700 / month
3 - bedroom apartment = $900 / month
Last month:
Number of vacant apartment = 6
Amount of Lost rent = $4600
Let a = 2 - bedroom apartment and b = 3 - bedroom apartment
Vacant apartment :
a + b = 6 - - - (1)
Lost rent :
700a + 900b = 4600 - - - (2)
From (1),, a = 6 - b
Substitute a = 6 - b into (2)
700(6 - b) + 900b = 4600
4200 - 700b + 900b = 4600
4200 + 200b = 4600
200b = 4600 - 4200
200b = 400
b = 400/200
b = 2
From (1) ;
a + b = 6
a + 2 = 6
a = 6 - 2
a = 4
a = 2 - bedroom apartment = 4
b = 3 - bedroom apartment = 2
Instructions: Find the measure of the indicated angle to the
nearest degree
Answers
Answer:
The answer is
31°Step-by-step explanation:
Let the unknown angle be x
To find x we use cosine
cos∅ = adjacent / hypotenuse
From the question
The hypotenuse is 56
The adjacent is 48
So we have
cos x = 48/56
cos x = 6/7
x = cos-¹ 6/7
x = 31.003
x = 31° to the nearest degree
Hope this helps you
multiply c^2(c^2-10c+25)
Answers
Step-by-step explanation:
c^2( c^2-10c+25)
=c^4 - 10c^3 + 25c^2
What is the answer now in two minutes
Answers
Answer:
sqrt(6)
Step-by-step explanation:
In a 45-45-90 right triangle, the ratio of the lengths of the sides is
1 : 1 : sqrt(2)
u = sqrt(3) * sqrt(2) = sqrt(6)
Answer:
√6 meters
Step-by-step explanation: In a 45° right triangle, the two sides of the 90° angle are equal. a^2+b^2=c^2
2(√3)^2 = 6
√c^2 = √6.
Someone pls help me I’m struggling
Answers
Answer:
2850
Step-by-step explanation:
We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: [tex]\frac{19}{100}=\frac{x}{15000}[/tex], cross multiply and get 2850.
Answer:
2850 sedans per month
Step-by-step explanation:
19 % want sedans
They expect to sell 15000 cars
Take the number of cars and multiply by the percent sedans
19% * 15000
Change to decimal form
.19*15000
2850
In solving the formula
A = (1/2)bh, in solving for h, you could first multiply both side by 1/2.
True or False
Answers
Answer:
False
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by b )
[tex]\frac{2A}{b}[/tex] = h
Solve the inequality.
9p+23<41
Answers
Answer:
p < 2
Step-by-step explanation:
9p + 23 < 41
p < 2
Answer:
p < 2
Step-by-step explanation:
9p + 23 < 41
9p < 18
p < 2
two regular polygons are such that the ratio of the measures of their interior angles is 4:3 and the ratio between their number of sides is 2:1 find the number of sides of each polygon
Answers
hey mate, here is ur answer in the attachment!
in a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series plays: win 8, lose 7, will 11, lose 2?
a -15
B -4
C 4
d 12
Answers
Answer:
4
Step-by-step explanation
+8 + (-7) + (+11) + (-2)= 4
The value of the series plays is 10.
--------------------------
In this question, we have to find the total amount of points, considering the number of points on each series.
Win 8: Add 8 points.Lose 7: Subtract 7 points.Win 11: Add 11 points.Lose 2: Subtract 2 points.--------------------------
The total is:
[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]
10 points.
A similar question is given at https://brainly.com/question/14350453
A regular admission for a movie is k8 per ticket seniors only pay k6 per ticket if the revenue for a movie totaled k1440 for an audience of 190 how many seniors attended?
Answers
Answer:
Step-by-step explanation: wjbsgstexrczlkcidgxtftwdcwdkfmw,d,f
Can Someone help me with this question?
Brainliest to the correct answer/explanation ❤️
Thank you (:
Answers
Answer:
1.67years
Step-by-step explanation:
in one it increases by 1.1% of 7.1 billion
=7.81 million
dat is it increases 7.7181 billion in 1 year
it reaches 12 billion in x years
therefore x years = 12 billion/ 7.7181 billion
= 1.67 years
don't forget to tag me as brainliest answer